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103122012321211 = 13261137157146477
BaseRepresentation
bin10111011100100111110110…
…111010011011010110111011
3111112010100221100021220222111
4113130213312322123112323
5102004022340123234321
61003153333133433151
730502214412051412
oct2734476672332673
9445110840256874
10103122012321211
112a94888862a754
12b6958a133b7b7
134570496a2c800
141b671bc3d6479
15bdc6909b25e1
hex5dc9f6e9b5bb

103122012321211 has 48 divisors (see below), whose sum is σ = 114398897475168. Its totient is φ = 92884479667200.

The previous prime is 103122012321197. The next prime is 103122012321227. The reversal of 103122012321211 is 112123210221301.

It is a happy number.

It is not a de Polignac number, because 103122012321211 - 215 = 103122012288443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103122012322211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2218751905 + ... + 2218798381.

It is an arithmetic number, because the mean of its divisors is an integer number (2383310364066).

Almost surely, 2103122012321211 is an apocalyptic number.

103122012321211 is a deficient number, since it is larger than the sum of its proper divisors (11276885153957).

103122012321211 is a wasteful number, since it uses less digits than its factorization.

103122012321211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48272 (or 48259 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 103122012321211 its reverse (112123210221301), we get a palindrome (215245222542512).

The spelling of 103122012321211 in words is "one hundred three trillion, one hundred twenty-two billion, twelve million, three hundred twenty-one thousand, two hundred eleven".

Divisors: 1 13 61 137 169 793 1571 1781 8357 10309 20423 23153 46477 95831 108641 215227 265499 604201 1245803 1412333 2797951 2835097 6367349 7854613 13128847 16195439 36373363 36856261 73015367 82775537 170675011 388408289 479131393 949199771 1076081981 2218775143 4453937387 5049307757 10003105279 12339597023 57901186031 65641000841 130040368627 610189422019 752715418403 1690524792151 7932462486247 103122012321211